论文标题
扭曲的双层石墨烯的隐藏波函数：扁平带作为Landau级别
Hidden Wave Function of Twisted Bilayer Graphene: Flat Band as a Landau Level
论文作者
论文摘要
我们研究了扭曲的双层石墨烯的手性对称连续体模型（CS-CM）。平坦带上的方程式可以解释为外部非亚伯磁场中圆环上的狄拉克方程。我们证明，平坦频带的存在意味着波功能为零和副诗。我们在CS-CM模型中找到了一个隐藏的解决方案，该解决方案具有极点而不是零。我们的主要结果是，在平坦带和隐藏波的基础上，平面频带可以解释为外部磁场中的Landau水平。通过这种解释，我们显示了磁场中额外的平坦带的存在。
We study the chirally symmetric continuum model (CS-CM) of the twisted bilayer graphene. The equation on a flat band could be interpreted as a Dirac equation on a torus in the external non-abelian magnetic field. We prove that the existence of the flat band implies that the wave-function has a zero and vice verse. We found a hidden solution in the CS-CM model that has a pole instead of a zero. Our main result is that in the basis of the flat band and hidden wave functions the flat band could be interpreted as Landau level in the external magnetic field. From that interpretation we show the existence of extra flat bands in the magnetic field.
